纵向和倾斜振动对液膜稳定性和去湿的影响
Influences of a longitudinal and tilted vibration on stability and dewetting of a liquid film
摘要：
本文研究了在基底吸引势作用下，在纵向或倾斜振动作用下，薄液膜的动力学行为。使用多尺度技术，我们分裂成振荡和平均部分的电影运动。假设振动的频率足够高，使得惯性效应对于振荡运动是必要的。应用润滑近似的平均运动，我们得到的振幅方程，其中包括重力，范德华吸引力，表面张力，和振动的贡献。我们表明，纵向振动导致不稳定的初始平面膜。在这种情况下，对应于偏转自由表面的稳定解是可能的。线性分析的情况下，倾斜振动表明，稳定或失稳是可能的。通过机械作用稳定去湿膜（即，振动），我们在PRE 77，036320（2008）中首次报道。这种效应对于应用可能是重要的。
英文摘要：
We consider the dynamics of a thin liquid film in the attractive substrate potential and under the action of a longitudinal or a tilted vibration. Using a multiscale technique we split the film motion into the oscillatory and the averaged parts. The frequency of the vibration is assumed high enough for the inertial effects to become essential for the oscillatory motion. Applying the lubrication approximation for the averaged motion we obtain the amplitude equation, which includes contributions from gravity, van der Waals attraction, surface tension, and the vibration. We show that the longitudinal vibration leads to destabilization of the initially planar film. Stable solutions corresponding to the deflected free surface are possible in this case. Linear analysis in the case of tilted vibration shows that either stabilization or destabilization are possible. Stabilization of the dewetting film by mechanical action (i.e., the vibration) was first reported by us in PRE 77, 036320 (2008). This effect may be important for applications.
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